i almost always do my sprints the day after a lifting day. it takes me more to recover from sprints than it does from lifting, and i always seem to have enough energy the next day. give it a try, and if you are too tired, try a different day next week.
how often are you lifting? it's a lot easier to fit in sprints if you only lift twice a week, and you can always work on certain exercises throughout the week without calling it a workout (i.e. doing pull ups every day to increase your numbers).